does magnetic field of solenoid depend upon radius?if it does why it is not included in the equation?
does magnetic field of solenoid depend upon radius?if it does why it is not included in the equation?
Strictly speaking the magnetic field of a solenoid is directly proportional to the ampere turns and the relative permeability. Since the relative permeability of the air is unity, one can take it as proportional to the product : ampere turns.
Now back to the question. The radius and the length don't directly affect the field, they affect indirectly the ampere turns . Larger the outer diameter and greater the length of the solenoid, more turns of the conductor can be accommodated. But this will increase the resistance of the coil. If you have a fixed voltage source, the gain in turns is offset by the increase in resistance. Even if you use thicker wire conductor, you can reduce the resistance but the number of turns will be smaller. So you are back to where you started.
Strictly speaking the magnetic field of a solenoid is directly proportional to the ampere turns and the relative permeability. Since the relative permeability of the air is unity, one can take it as proportional to the product : ampere turns.
Now back to the question. The radius and the length don't directly affect the field, they affect indirectly the ampere turns . Larger the outer diameter and greater the length of the solenoid, more turns of the conductor can be accommodated. But this will increase the resistance of the coil. If you have a fixed voltage source, the gain in turns is offset by the increase in resistance. Even if you use thicker wire conductor, you can reduce the resistance but the number of turns will be smaller. So you are back to where you started.
